A wave travelling along a string is described by y(x

PHYSICS · Multi-part · A Level · Physics · Waves · Waves

Problem

A wave travelling along a string is described by

y(x, t) = 0.005 \sin (80.0 x - 3.0 t),

in which the numerical constants are in SI units (

0.005

80.0

rad

m^{-1}

and

3.0

rad

s^{-1}

). Calculate (1) (a) the amplitude. (2) (b) the wavelength (3) (c) the period and frequency of the wave. (4) Also, calculate the displacement

y

of the wave at a distance

x = 30.0

cm and time

t = 20